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Volumn 249, Issue 5, 2003, Pages 971-993

New Galerkin-based approach for accurate non-linear normal modes through invariant manifolds

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; GALERKIN METHODS; MATHEMATICAL MODELS; MODAL ANALYSIS; NONLINEAR EQUATIONS;

EID: 0037474503     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.3914     Document Type: Article
Times cited : (139)

References (20)
  • 1
    • 33645049419 scopus 로고    scopus 로고
    • On nonlinear vibrations of systems with many degrees of freedom
    • R. M. Rosenberg 1996 Advances in Applied Mechanics 9, 155-242. On nonlinear vibrations of systems with many degrees of freedom.
    • (1996) Advances in Applied Mechanics , vol.9 , pp. 155-242
    • Rosenberg, R.M.1
  • 7
    • 0027911991 scopus 로고
    • Normal modes for non-linear vibratory systems
    • S. W. Shaw and C. Pierre 1993 Journal of Sound and Vibration 164, 85-124. Normal modes for non-linear vibratory systems.
    • (1993) Journal of Sound and Vibration , vol.164 , pp. 85-124
    • Shaw, S.W.1    Pierre, C.2
  • 8
    • 0028203123 scopus 로고
    • Normal modes for vibration for non-linear continuous systems
    • S. W. Shaw and C. Pierre 1994 Journal of Sound and Vibration 169, 319-347. Normal modes for vibration for non-linear continuous systems.
    • (1994) Journal of Sound and Vibration , vol.169 , pp. 319-347
    • Shaw, S.W.1    Pierre, C.2
  • 9
    • 0035410005 scopus 로고    scopus 로고
    • Nonlinear modal analysis of structural systems using multi-mode invariant manifolds
    • to appear
    • E. Pesheck, C. Pierre, S. W. Shaw and N. Boivin 2001 Nonlinear Dynamics, to appear. Nonlinear modal analysis of structural systems using multi-mode invariant manifolds.
    • (2001) Nonlinear Dynamics
    • Pesheck, E.1    Pierre, C.2    Shaw, S.W.3    Boivin, N.4
  • 10
    • 0030151935 scopus 로고    scopus 로고
    • A numerical method for determining nonlinear normal modes
    • J. C. Slater 1996 Nonlinear Dynamics 10, 19-30. A numerical method for determining nonlinear normal modes.
    • (1996) Nonlinear Dynamics , vol.10 , pp. 19-30
    • Slater, J.C.1
  • 12
    • 0031599011 scopus 로고    scopus 로고
    • Modal analysis-based reduced-order models for nonlinear structures - An invariant manifold approach
    • S. W. Shaw, C. Pierre and E. Pesheck 1999 Shock and Vibration Digest 31, 13-16. Modal analysis-based reduced-order models for nonlinear structures - an invariant manifold approach.
    • (1999) Shock and Vibration Digest , vol.31 , pp. 3-16
    • Shaw, S.W.1    Pierre, C.2    Pesheck, E.3
  • 18
    • 0030780655 scopus 로고    scopus 로고
    • Non-linear normal modes (nnms) and their applications in vibration theory: An overview
    • A. F. Vakakis 1997 Mechanical Systems and Signal Processing 11, 3-22. Non-linear normal modes (nnms) and their applications in vibration theory: an overview.
    • (1997) Mechanical Systems and Signal Processing , vol.11 , pp. 3-22
    • Vakakis, A.F.1
  • 20
    • 0033898156 scopus 로고    scopus 로고
    • Non-linear normal modes and non-parametric system identification of non-linear oscillators
    • X. Ma, M. F. A. Azeez and A. F. Vakakis 2000 Mechanical Systems and Signal Processing 14, 37-48. Non-linear normal modes and non-parametric system identification of non-linear oscillators.
    • (2000) Mechanical Systems and Signal Processing , vol.14 , pp. 37-48
    • Ma, X.1    Azeez, M.F.A.2    Vakakis, A.F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.